95916480 has 224 divisors, whose sum is σ = 344107008. Its totient is φ = 22425600.

The previous prime is 95916479. The next prime is 95916517. The reversal of 95916480 is 8461959.

It is a super-2 number, since 2×95916480² = 18399942271180800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327214 + ... + 327506.

It is an arithmetic number, because the mean of its divisors is an integer number (1536192).

Almost surely, 2^95916480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172053504).

95916480 is an abundant number, since it is smaller than the sum of its proper divisors (248190528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95916480 is a wasteful number, since it uses less digits than its factorization.

95916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 95916480 is about 9793.6959315674. The cubic root of 95916480 is about 457.7528716424.

The spelling of 95916480 in words is "ninety-five million, nine hundred sixteen thousand, four hundred eighty".